Lemmas.u32_is_le_nat: law of bend-kit-lemmas@0.1.1.0
Import: import bend-kit-lemmas@0.1.1.0/lemmas.bend as Lemmas
Lines 127-130 of bend-kit-lemmas@0.1.1.0/lemmas.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&start_line=127&end_line=130

import Base

law u32_is_le_nat:
  for a: U32
  for b: U32
  {U32.is_le(a, b) == Nat.is_le(U32.to_nat(a), U32.to_nat(b)) : Bool}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&name=u32_cmp_nat